Hereditary conjugacy separability of right angled Artin groups and its applications

Details Hereditary conjugacy separability of right angled Artin groups and its applications Hereditary conjugacy separability of right angled Artin groups and its applications

2009-05-08

arxiv.org/abs/0905.1282v4

Mathematics

Group Theory

49 pages, final version, to appear in Groups Geom. Dyn

Scientific paper

We prove that finite index subgroups of right angled Artin groups are conjugacy separable. We then apply this result to establish various properties of other classes of groups. In particular, we show that any word hyperbolic Coxeter group contains a conjugacy separable subgroup of finite index and has a residually finite outer automorphism group. Another consequence of the main result is that Bestvina-Brady groups are conjugacy separable and have solvable conjugacy problem.

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